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Finding the Fourth Proportional to 276.17, 414 and 93.51

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Solution

The fourth proportional to 276.17, 414 and 93.51 is: 140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.17 : 414 = 93.51 : x
  2. Step 2: Convert to fraction form
    276.17/414 = 93.51/x
  3. Step 3: Cross multiply
    276.17x = 414 × 93.51
  4. Step 4: Simplify right side
    276.17x = 38,713.14
  5. Step 5: Solve for x
    x = 38,713.14/276.17
  6. Step 6: Final answer
    x = 140.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.